A certain disease affects about 1 out of 10, 000 people. There is a test to check whether the person has the disease. The test is quite accurate. In particular, we know that • the probability that the test result is positive (suggesting the person has the disease), given that the person does not have the disease, is only 2 percent; • the probability that the test result is negative (suggesting the person does not have the disease), given that the person has the disease, is only 1 percent. A random person gets tested for the disease and the result comes back positive. What is the probability that the person has the disease?
A certain disease affects about 1 out of 10, 000 people. There is a test to check whether the person has the disease. The test is quite accurate. In particular, we know that • the probability that the test result is positive (suggesting the person has the disease), given that the person does not have the disease, is only 2 percent; • the probability that the test result is negative (suggesting the person does not have the disease), given that the person has the disease, is only 1 percent. A random person gets tested for the disease and the result comes back positive. What is the probability that the person has the disease?
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 18T: You attend a karaoke night and hope to hear your favorite song. The karaoke song book has 300...
Related questions
Question
100%
Transcribed Image Text:A certain disease affects about 1 out of 10, 000 people. There is a test to check whether the person
has the disease. The test is quite accurate. In particular, we know that
• the probability that the test result is positive (suggesting the person has the disease), given that
the person does not have the disease, is only 2 percent;
• the probability that the test result is negative (suggesting the person does not have the disease),
given that the person has the disease, is only 1 percent.
A random person gets tested for the disease and the result comes back positive. What is the
probability that the person has the disease?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 4 images
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning